1. 1. Making your reasoning clear and using modulo arithmetic, show that

$$214 ^ { 6 } \text { is divisible by } 8$$ (ii) The following 7-digit number has four unknown digits $$a 5 \square b \square a b 0$$ Given that the number is divisible by 11

1. determine the value of the digit \(a\). Given that the number is also divisible by 3
2. determine the possible values of the digit \(b\).